{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Graphical Representations of Data\n",
    "By Evgenia \"Jenny\" Nitishinskaya, Maxwell Margenot, and Delaney Granizo-Mackenzie.\n",
    "\n",
    "Part of the Quantopian Lecture Series:\n",
    "\n",
    "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
    "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
    "\n",
    "Notebook released under the Creative Commons Attribution 4.0 License.\n",
    "\n",
    "\n",
    "Representing data graphically can be incredibly useful for learning how the data behaves and seeing potential structure or flaws. Care should be taken, as humans are incredibly good at seeing only evidence that confirms our beliefs, and visual data lends itself well to that. Plots are good to use when formulating a hypothesis, but should not be used to test a hypothesis.\n",
    "\n",
    "We will go over some common plots here."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 数据的可视化\n",
    "By Evgenia \"Jenny\" Nitishinskaya, Maxwell Margenot, and Delaney Granizo-Mackenzie.\n",
    "\n",
    "Part of the Quantopian Lecture Series:\n",
    "\n",
    "* [www.quantopian.com/lectures](https://www.quantopian.com/lectures)\n",
    "* [github.com/quantopian/research_public](https://github.com/quantopian/research_public)\n",
    "\n",
    "Notebook released under the Creative Commons Attribution 4.0 License.\n",
    "\n",
    "---\n",
    "\n",
    "数据可视化作为一种工具，对于了解数据的行为特征，探寻其内在的结构模式，发现数据中的问题都非常有用。需要注意的是，人往往会犯一种错误：人们会从一些证据中做筛选，用来佐证自己的论点，数据可视化正好可以做到这一点。我们可以通过观察图，发现其中的一些规律，从而提出一些假设，但千万不要为了试图去证明某个假设，而去用画图来验证自己的想法。\n",
    "\n",
    "我们将介绍一些常用的图."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# Import our libraries\n",
    "\n",
    "# This is for numerical processing\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "from scipy.io import loadmat\n",
    "# This is the library most commonly used for plotting in Python.\n",
    "# Notice how we import it 'as' plt, this enables us to type plt\n",
    "# rather than the full string every time.\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "%matplotlib inline\n",
    "plt.rcParams['figure.figsize'] = (12.0, 8.0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Getting Some Data\n",
    "\n",
    "If we're going to plot data we need some data to plot. We'll get the pricing data of Apple (AAPL) and Microsoft (MSFT) to use in our examples.\n",
    "\n",
    "### Data Structure\n",
    "\n",
    "Knowing the structure of your data is very important. Normally you'll have to do a ton work molding your data into the form you need for testing. Quantopian has done a lot of cleaning on the data, but you still need to put it into the right shapes and formats for your purposes.\n",
    "\n",
    "In this case the data will be returned as a pandas dataframe object. The rows are timestamps, and the columns are the two assets, AAPL and MSFT."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 获取数据\n",
    "\n",
    "我们需要准备一些数据用作绘图，这里选取苹果和微软两个公司的股价作为我们的数据源。\n",
    "\n",
    "### 数据结构\n",
    "\n",
    "数据结构的构建对于你后面的分析非常重要。从原始数据到可用于的分析的数据之间，通常会耗费大量精力去做这件事。Quantopian平台已经帮你完成数据清洗的工作，但是实际应用时，仍需根据实际情况调整数据的shape和format。\n",
    "\n",
    "在本例中，`get_pricing()`返回的是一个`pandas`的`dataframe`对象，行标签是`时间戳(timestamps)`，两列数据分别代表苹果和微软的股价。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Equity(24 [AAPL])</th>\n",
       "      <th>Equity(5061 [MSFT])</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-01-02 00:00:00+00:00</th>\n",
       "      <td>79.034</td>\n",
       "      <td>37.145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-03 00:00:00+00:00</th>\n",
       "      <td>77.284</td>\n",
       "      <td>36.920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-06 00:00:00+00:00</th>\n",
       "      <td>77.709</td>\n",
       "      <td>36.130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-07 00:00:00+00:00</th>\n",
       "      <td>77.164</td>\n",
       "      <td>36.403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-08 00:00:00+00:00</th>\n",
       "      <td>77.626</td>\n",
       "      <td>35.750</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                           Equity(24 [AAPL])  Equity(5061 [MSFT])\n",
       "2014-01-02 00:00:00+00:00             79.034               37.145\n",
       "2014-01-03 00:00:00+00:00             77.284               36.920\n",
       "2014-01-06 00:00:00+00:00             77.709               36.130\n",
       "2014-01-07 00:00:00+00:00             77.164               36.403\n",
       "2014-01-08 00:00:00+00:00             77.626               35.750"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "start = '2014-01-01'\n",
    "end = '2015-01-01'\n",
    "data = get_pricing(['AAPL', 'MSFT'], fields='price', start_date=start, end_date=end)\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在这里，依然会带来本地的示例"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "start = '2014-01-01'\n",
    "end = '2015-01-01'\n",
    "\n",
    "file_name = r'data\\closeF.mat'\n",
    "origin_data = loadmat(file_name)\n",
    "data_all = pd.DataFrame(origin_data['data'])\n",
    "origin = np.datetime64('0000-01-01', 'D') - np.timedelta64(1, 'D')\n",
    "date = pd.DataFrame(origin_data['timeD']).applymap(lambda x : x * np.timedelta64(1, 'D') + origin)\n",
    "data_all.index = date[0].tolist()\n",
    "data = data_all.loc[start:end ,[0,1]]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Indexing into the data with `data['AAPL']` will yield an error because the type of the columns are equity objects and not simple strings. Let's change that using this little piece of Python code. Don't worry about understanding it right now, unless you do, in which case congratulations."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "直接使用`data['AAPL']`会报错，因为`data`的`columns`是`equity`对象，不是字符串。所以我们先将其转换成字符串。\n",
    "```python\n",
    "data.columns = [e.symbol for e in data.columns]\n",
    "```\n",
    "这行代码在Python中叫做列表生成式，其实可以看做是一个for循环的简写：\n",
    "```python\n",
    "List = []\n",
    "for i in range(len(data.columns)):\n",
    "    List[i] = data.columns[i].symbol\n",
    "data.columns = List\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>AAPL</th>\n",
       "      <th>MSFT</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-01-02 00:00:00+00:00</th>\n",
       "      <td>79.034</td>\n",
       "      <td>37.145</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-03 00:00:00+00:00</th>\n",
       "      <td>77.284</td>\n",
       "      <td>36.920</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-06 00:00:00+00:00</th>\n",
       "      <td>77.709</td>\n",
       "      <td>36.130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-07 00:00:00+00:00</th>\n",
       "      <td>77.164</td>\n",
       "      <td>36.403</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-08 00:00:00+00:00</th>\n",
       "      <td>77.626</td>\n",
       "      <td>35.750</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             AAPL    MSFT\n",
       "2014-01-02 00:00:00+00:00  79.034  37.145\n",
       "2014-01-03 00:00:00+00:00  77.284  36.920\n",
       "2014-01-06 00:00:00+00:00  77.709  36.130\n",
       "2014-01-07 00:00:00+00:00  77.164  36.403\n",
       "2014-01-08 00:00:00+00:00  77.626  35.750"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.columns = [e.symbol for e in data.columns]\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>PAYH</th>\n",
       "      <th>WKA</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2014-01-02</th>\n",
       "      <td>6.716980</td>\n",
       "      <td>6.801261</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-03</th>\n",
       "      <td>6.552213</td>\n",
       "      <td>6.673578</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-06</th>\n",
       "      <td>6.409415</td>\n",
       "      <td>6.367138</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-07</th>\n",
       "      <td>6.387447</td>\n",
       "      <td>6.324577</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2014-01-08</th>\n",
       "      <td>6.458845</td>\n",
       "      <td>6.316065</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                PAYH       WKA\n",
       "2014-01-02  6.716980  6.801261\n",
       "2014-01-03  6.552213  6.673578\n",
       "2014-01-06  6.409415  6.367138\n",
       "2014-01-07  6.387447  6.324577\n",
       "2014-01-08  6.458845  6.316065"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 本地示例中，我们直接进行赋值就好了\n",
    "data.columns = ['PAYH', 'WKA']\n",
    "data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Much nicer, now we can index. Indexing into the 2D dataframe will give us a 1D series object. The index for the series is timestamps, the value upon index is a price. Similar to an array except instead of integer indecies it's times."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "现在我们可以进行索引了，上节课中，我们介绍了，对二维的`DataFrame`数据做索引之后，返回的对象是一维的`Series`对象。这个`Series`的`index`是一个`时间戳(timestamps)`对象，其值为对应的股价。由于上一步我们已经修改了`colunms`,现在我们可以直接用列名进行索引："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2014-01-02 00:00:00+00:00    37.145\n",
       "2014-01-03 00:00:00+00:00    36.920\n",
       "2014-01-06 00:00:00+00:00    36.130\n",
       "2014-01-07 00:00:00+00:00    36.403\n",
       "2014-01-08 00:00:00+00:00    35.750\n",
       "Name: MSFT, dtype: float64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['MSFT'].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2014-01-02    6.716980\n",
       "2014-01-03    6.552213\n",
       "2014-01-06    6.409415\n",
       "2014-01-07    6.387447\n",
       "2014-01-08    6.458845\n",
       "Name: PAYH, dtype: float64"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['PAYH'].head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Histogram\n",
    "\n",
    "A histogram is a visualization of how frequent different values of data are. By displaying a frequency distribution using bars, it lets us quickly see where most of the observations are clustered. The height of each bar represents the number of observations that lie in each interval. You can think of a histogram as an empirical and discrete Propoability Density Function (PDF)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 直方图\n",
    "\n",
    "直方图反应的是数据中各值出现的频率。用一根根小柱子(bars, 直方)表示频率的分布，用于辨识观察值集中在哪些区域。柱子的高度代表了落在该区间的观察值的数量。可以把直方图看做一个概率密度函数(PDF)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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+9PygILdFKDIyUgkJCWrcuLECAgJc05944olrWmDLli1d/4+JidGECRPc3qdZ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\nl+eNHAAAAADgNW6L0KxZs1z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8s1JSUhQVFaXvv/9eNWvWtDtmqffKK6+4/j9z5kxVr15d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\nhAAAAAD4DkEIAAAAgO/8ADvi7eNjvG18AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a760b1050>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a histogram using 20 bins\n",
    "plt.hist(data['MSFT'], bins=20)\n",
    "plt.xlabel('Price')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.title('Frequency Distribution of MSFT Prices, 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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G6dOSPHiWNQAAwGqbdUv07yf5xSRfXrJsS3dfNkxfnmTLjGsAAIBVVd09mx1XPSDJ/bv7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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf7141d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a histogram using 20 bins\n",
    "plt.hist(data['PAYH'], bins=20)\n",
    "plt.xlabel('Price')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.grid(True)\n",
    "plt.title('Frequency Distribution of PAYH Prices, 2014');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Returns Histogram\n",
    "\n",
    "In finance rarely will we look at the distribution of prices. The reason for this is that prices are non-stationary and move around a lot. For more info on non-stationarity please see [this lecture](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity). Instead we will use daily returns. Let's try that now."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 回报的直方图\n",
    "\n",
    "在金融领域，我们很少会直接去看价格的分布情况。因为价格通常不稳定，价格的波动也很频繁。关于不稳定性可以参考[这节课](https://www.quantopian.com/lectures/integration-cointegration-and-stationarity)的内容.所以，在这里，我们用日回报来代替价格，让我们来看一看："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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dIzo6usrrg2tkZGQwDx6AeXC/mp6DoKCgK/5gCVSVf3CoAkOauTtGBZGRkQoP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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a760430d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "R = data['MSFT'].pct_change()[1:]\n",
    "\n",
    "# Plot a histogram using 20 bins\n",
    "plt.hist(R, bins=20)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.title('Frequency Distribution of MSFT Returns, 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JXl5VrxljTZIkSdJEm+9INABV9ZokTwQe1k/aWlXvG21ZkiRJ0uRa8OwcSV4H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\nJEmS1Oj/A0hoh3ub2na8AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf895e48>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "# 移除首行，因为首行的百分比值是NaN\n",
    "R = data['PAYH'].pct_change()[1:]\n",
    "\n",
    "# Plot a histogram using 20 bins\n",
    "plt.hist(R, bins=20)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.grid(True)\n",
    "plt.title('Frequency Distribution of PAYH Returns, 2014');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The graph above shows, for example, that the daily returns of MSFT were above 0.03 on fewer than 5 days in 2014. Note that we are completely discarding the dates corresponding to these returns. \n",
    "\n",
    "##### IMPORTANT: Note also that this does not imply that future returns will have the same distribution."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过这个直方图，我们可以知道，2014年，微软股价日涨幅超过3%的天数不超过5天。(注意，这里我们舍弃掉日期这个索引，这样我们可以直观的看涨幅的分布情况)\n",
    "\n",
    "##### 重要提示:我们并不能据此推断未来的股价涨幅分布和这个一样."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Cumulative Histogram (Discrete Estimated CDF)\n",
    "\n",
    "An alternative way to display the data would be using a cumulative distribution function, in which the height of a bar represents the number of observations that lie in that bin or in one of the previous ones. This graph is always nondecreasing since you cannot have a negative number of observations. The choice of graph depends on the information you are interested in."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 累积分布直方图 (离散估计 累积分布函数(CDF))\n",
    "\n",
    "另外的一种选择就是累积分布函数。顾名思义，就是将观察值的数量进行累加，某一个柱子的高度代表了：在小于等于这根柱子横坐标的区间里所有观察值的数量总和.\n",
    "$$F(x) = P(X<=x) $$\n",
    "\n",
    "因为观察值的数量永远不可能为负数，所以这个函数是单调递增的.\n",
    "\n",
    "$$x_1 < x_2,\\quad f(x_1) <= f(x_2)$$\n",
    "\n",
    "两种方案的选择取决于你感兴趣的信息。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4Jh0AAAAAWMjlNUxHjhyRw+FwbttsNn3//fduDQUAAAAA3sA4w3RZp06dFB0d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\nAADAanZXd3j00Ue1d+9eXbh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2tmPEiBGOkSNHOj799FMrov/kpaWlOf74xz86HA6H48CB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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a768fb190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "R = data['MSFT'].pct_change()[1:]\n",
    "\n",
    "# Plot a histogram using 20 bins\n",
    "plt.hist(R, bins=20, cumulative=True)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.title('Cumulative Distribution of MSFT Returns, 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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VQRrkkWtJkiSpEcO1JEmS1IjhWpIkSWrEcC1JkiQ14gmNkiSpmfM2Xe1l5XSb5pFrSZIk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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf46ddd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "R = data['PAYH'].pct_change()[1:]\n",
    "\n",
    "# Plot a histogram using 20 bins\n",
    "plt.hist(R, bins=20, cumulative=True)\n",
    "plt.xlabel('Return')\n",
    "plt.ylabel('Number of Days Observed')\n",
    "plt.grid(True)\n",
    "plt.title('Cumulative Distribution of PAYH Returns, 2014');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Scatter plot\n",
    "\n",
    "A scatter plot is useful for visualizing the relationship between two data sets. We use two data sets which have some sort of correspondence, such as the date on which the measurement was taken. Each point represents two corresponding values from the two data sets. However, we don't plot the date that the measurements were taken on."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 散点图\n",
    "\n",
    "散点图通常刻画的是两组数据之间的关系。在本例中，以微软和苹果的每日股价分别作为每一个点的横纵坐标(比如14-1-2的微软股价作为点的横坐标，苹果股价作为其纵坐标)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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A8eXxeFVSUqlDh6TGxjeUm3upxoxpU2lpkZzO7HgPD4gbAhIAAEAKKimpVEXFfEllku5V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\n0YIkIiIiIiIS8ge5HVgORME0FAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a760439d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data['MSFT'], data['AAPL'])\n",
    "plt.xlabel('MSFT')\n",
    "plt.ylabel('AAPL')\n",
    "plt.title('Daily Prices in 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2n8l02yqsvvpHTc1BFRcvUE3NIDmdFXriiVm2tC1cdn/xwup8ABKNUaC67bbb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\noNq6datWr16twsJCnThxQr/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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a6863e8d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_msft = data['MSFT'].pct_change()[1:]\n",
    "R_aapl = data['AAPL'].pct_change()[1:]\n",
    "\n",
    "plt.scatter(R_msft, R_aapl)\n",
    "plt.xlabel('MSFT')\n",
    "plt.ylabel('AAPL')\n",
    "plt.title('Daily Returns in 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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hGkhQs7IJk5b0XT7wzMv66lMvqTRT1pCZ5ty1tkHnjJvvPqSb7z6kITPd+LaL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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10762470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(data['PAYH'], data['WKA'])\n",
    "plt.xlabel('PAYH')\n",
    "plt.ylabel('WKA')\n",
    "plt.grid(True)\n",
    "plt.title('Daily Prices in 2014');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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d0HYABYR0AADQNqNbhpVODSzalk4NaHTLcEwjArpDV7dgBAAAyVbs4lKpuwuAcIR0AADQ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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x105600b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "R_payh = data['PAYH'].pct_change()[1:]\n",
    "R_wka = data['WKA'].pct_change()[1:]\n",
    "\n",
    "plt.scatter(R_payh, R_wka)\n",
    "plt.xlabel('PAYH')\n",
    "plt.ylabel('WKA')\n",
    "plt.grid(True)\n",
    "plt.title('Daily Returns in 2014');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Line graph\n",
    "\n",
    "A line graph can be used when we want to track the development of the y value as the x value changes. For instance, when we are plotting the price of a stock, showing it as a line graph instead of just plotting the data points makes it easier to follow the price over time. This necessarily involves \"connecting the dots\" between the data points, which can mask out changes that happened between the time we took measurements."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 折线图\n",
    "\n",
    "折线图通常被用来刻画\\\\(y\\\\)随着\\\\(x\\\\)的变化而变化的趋势.比如说股价的走势图，我们用折线图代替散点图更容易感受股票价格随着时间的波动。在连线的过程中，会让取样点之间的过渡显得更加自然，平滑。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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gVFvW7prP1Y7ibOZsmse+ilyCvQK5fciPW97jfMqvOrJiXIyCkDiRw4NQVlYW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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a686fa090>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data['MSFT'])\n",
    "plt.plot(data['AAPL'])\n",
    "plt.ylabel('Price')\n",
    "plt.legend(['MSFT', 'AAPL']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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nKFZkiYylmmA1qFaSr2sliKgQJbLEpMNbm0w1T0rFqw+sdVM2gxGaIPt87NLh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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f1a685a3190>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "R = data['MSFT'].pct_change()[1:]\n",
    "\n",
    "plt.plot(R)\n",
    "plt.ylabel('Return')\n",
    "plt.title('MSFT Returns');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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JG8MQKIgWERERGU2aq6BoIuSVJjeIrt+XtvXQoCBaREREZHRproaSqZCd1zuIrn4dAv74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\nQG4s/HoL1FZf+nmSDsH/JsG3i0CrvfTjdJWSDDB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sjsjk8z3x3DjWnaWjxAur68e48c2B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\ntYaxnjbMHurAwuFOvLs1lpGulvg5nq+bVoBjSQV8vS+B0ERR/jHC1YL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MurZd/6tWq/j+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\nERERPymJFhERERHx0/8DCyE404olr94AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x107863c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(data['PAYH'])\n",
    "plt.plot(data['WKA'])\n",
    "plt.ylabel('Price')\n",
    "plt.grid(True)\n",
    "plt.legend(['PAYH', 'WKA']);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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FOgAW6YQUSmCKdKa7EEIIGQ9a7C5hq93Ftr0MOqHseFz0h1N+amSRTkiBaHFivUElnRBC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\nLn5nU2x3sM0cOr3W0l8zKCV9ruzhmovm0kp6M0C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8Mz9K9Px6E7Nl12xrv3aXrxw4jQ98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ZyVbC9IhJDpUs0UnmXA8Q6fO9yJpV2Jhs5yssoZ9roAq9b/tycP472Xr8Sy7vDM5TCENTNylHQC\nVVFELncQ+EJFeNKF3cX9+juP5XDQ/uylal3K9yVOK2aPks5Jq7wzwYtZ/Ug6j7AEJLtLkJJuqBgv\ntmd3kVXxyOkuPu+xYSiDXKUuPKhCSbcTWvyKR72+Q4AtTm7aNizUuuEuZpfhBMUvuowQgjdvH8aj\n+8YbrsmT+QqWdTtb7c2UIjknnZPzmVgFwsCV2qCMdMA53pIdwTir758yhGefFzZ7rwFFIRixmxpl\nW1TSWwXveRCVxHBVMycVlc0mhrMJPPZ712JNX1rcV8enyw2qsNeTnudF4iEdRwGmnPPv2y/ZhePc\n4Q7kynXstS1b0+UaMjHNLj4n2DDYIYpHp0o1dMQdpZ8rgs0Wp83AO0DzKEa+6zgTUseU9MYIRl4X\nErPtI3WLYvvy2Sfp7YBfc+cGkHSFOEXZAHD+ii4YquLqK1KJWBjN4fakW645uRmWZBOYLtddEYZB\nmG1Pui4r3JFz0t2Fo/KuaUK3SXreTdK9zYw4/L5flTgkPSyCUb7HzyRPerMr6htg9pbnAPwSgB8D\neCuAmymlN83xsZ21KFTMwG3VFT08K50N7hW7sFD2fidDfNesSMU57XzAP295F5Z1J3FowmN3kQoX\nUyF2F0pZ5GJX0sCHrl4b7YMGwFAV1Jp50lVWOGo286TXnGJHwFHyvN/Nj14YZRYjXUGpZrpSCfiP\n1+5S87F2aIqCmmWJnQ453SWmK47dxT7soIEuaWiihXG7HUeBaEq6ERD/JYpHbbLAvxNHSW8sHuUZ\n8WHNIoazCRSqpmiDHpQvfNO2YQDAXU+71fRThSrOGeoU5zRqugsrHJ1rJZ1N5n2hSrrz3u1kfYeh\nJx0TnnTuW/WbpNfavvTuOSbpzKNvNaR8BEEuZO1Lz+2xyUp61quke+wuRZ9dM9drCSVdF9932L3H\nCeqTB1jB4nSp7iL16wczeHGU7WJNFKuuxRQfs1uxSPhhWXcSq3tTIorRrxC+VbB0nsbCUceT7hzz\necuzbb/PbIKfe1+VPaGjJx1zKbMJQ8V5y7N48GWn6FbsFEVMd+HBB5W6iVK13lIRO7cNRrG8zLYn\nXVbS/UIP/MAfVZfmbo6kpKRz0ca03Mkx8tQU5EmvCyXdfk8/u8sZWjja7IpaTSl9D6X0SwDeCWAT\ngF+glD4994d29iIs6osr6TzhpVJrJDhhBZ4lz2tfu7Ef//XRK7C2P41lXUkcn664/NqsqI/7eINf\n994dx/Hw3nF87NqRGVfr61pwTjr3ninETndpFsFYZf5+PiETQlzNKEyL4isP7MWX7n8Zl63pQU8q\nxvLJPdu0GbuVu+tYuNouff96EyXdWzgatB2eijktjFsl6fLjm3nSNw514PwARWv9QAaEQBSP8mPn\n0Wvydi+H+E5CPH/DUsILpZSlIvgMvsu6k7hoVTe++9QRV+fHk3ZR4eq+lP0Zm5B0kfOvCQIyF550\nwEkPiVI4CrRuZWqG3rQhFk+CpPt8P5uHO2GoilD+5wq6qogaDSBCuovkeZ8LJV0G/+5PFSqNSrrH\n7hJWzA845DMT08Q9F1Q0CjD/c0dcw5MHWdfP6XKtgaTnKnUcmSxhwu42ysHJxmzsBl21rg8P7z2F\ncs0MXdRFBbO7BDcz4mPTip4kegKafb3SeNW6PrzzomXY4kPSb9o27NsN9fK1vXjh6LTYNWjV7sIf\n244nXYyfAcX7Mmbfk+5OXYkCbzMj3WV30dCbZhY3Pr+ydBfn+fJiwNfuohCh0ofZXc7UwtFmV5RY\nElNKTQCHKaXRzFCLaBusIM//pk0YKvozMWF3YRF97scm9GDF2xv3pKmK2ObjFoLD0s0v56RzC473\ndat1C5/54S6s7U/jnT5+wFbBC0dlYmZZFHtO5D3pLhEiGO3PK6/ME3b6zctjebztSw/hT3+wE1eO\n9OHzb98m4rW4zYc/L+VD0kVRlHTD88QZkciQcEhHKqZhulyHZScBAP7pLuyxqigujbWothJChMe8\nGYF9x0XL8e0PXBJwDBpWdCdF8SifiFb0pvDm84bxpfv3NqjconA0TEmXstKbKaxvPm8Ye8cKePYw\ni1usmWyXoidtYHVvWhxnGORmRkJ9nyMlfWlXQqhDQZCPd9aV9JSjpHNvurxVz3HLxSvww9+4suki\nbqbg3z1XaaPaXYDgjq2zBT5uUgp0JtyLlZaVdFczo+ZKuqIQbFvehafs6D9uaeEQxaOjLM/eT0lv\nt5mRjKvW9aJcs/D4/gmnhfwMSJ23cLTiIa/8e5ovVheA7U5/5s1bfG2Fb9i6BB/22Rm+bE0PKAUe\n3sssL1F3imQYthjVarrLsE+MrR9Mi6JYNWfXk65ysSt6Tjp/GCfQuo/dBXBiGFkzI3kxEG530VxK\nekjHUfu+4ZayMwXNrqithJBp+ycHYAv/OyFkuslzF9EmCtXg9tMAUyFkJd2rtAq7S4CSHkQMuI9c\ntrzI8Xic3HuV9G8+fAD7Thbwezdu9G020Cq4h5j7wit1Ex/99lO49q/ux54TrMhJdBwNaXrEj9Wb\nXJLQVdz/4hhu/OufYs+JPD7/9q34ym3noz8TFxnzXguGXytmr0rE/14LUNJX96ZQrVs4LPmxgxb0\nMhlop1scP8czVVE2DHZgp52VLid0fOYtm3HRqm78xj8/jdv/8VH86PlR1ExL1Ah48/dliKz0iWJT\nBeqGzUMwNAXfffIwAIhi2p50DJuWdCChqy160mdPhfTDrZeswI9+/apQ8u0i6bPsSe9NxzBVqqFa\nt0SBba+PWm5oyqwna/iBX7u5yCRdsrvMtZIuHUszTzpX0oOuNZHu4iLp4Qug7cuz2H08h1y5humS\nW0lfJ2IYc5gouvPsbz5vGP/7DZtClfqouHhVD3SV4IGXxmbN7pIr18W4zMdwJyedXe/b54nVpV1s\nWZpF0lDxoO1L9xbIRoFhF1WXfOaoMPRlYtAU4krI8gOvSZlVu4v9+aL60eXHmj5zA0t3YdZAQdKp\nuxO3/F5+dhfWzMhtd/E7vqRdyH0mqehAE5JOKVUppR32T4ZSqkl/7wh77iLaRzGk/TQALO92stL9\nmt2E2l1qwd3NltmRZ3IMo0xWVbu9sPy6k8Uq/vq+l3DlSC9evb4x3qodyN3+CpU6funOx/H9544B\nYBGPgONJj6Skez5v0lBxaLyEK0d6ce/HrsKbzlsqVtYJW0mvmZZrMEnHtYZs2mC7C0t3IcStpq2T\n8o+F3SVgsJMTFtoh6XzQn6lSumEog/2nCihW6y5CHdNUfPX2C/DRa0awezSHD37zCVz2Z/+D7zx6\nEIDbp+9FT8pATFNwdKrcdHLrTOi4buMA/vPZY6iZllCJe1MG3nPZSnz/165oSvw46cgmDIekz3K3\nUY64rmJ5T3jRdNqlpM+u3YUT21OFiiggPZ22ggYlvQmJyb6CSrq8kPJ60mMeks53D4PGzph0v/Hz\nK3tg/bB9eRcoBZ45NIVcue4i3R1xHcPZhK2ku/stLOtO4j2Xr4r0GZshFdNwwYpuPPDimFhIzYTU\n8a6jXKTwChl8XjtvHinp7cDQFFy4sruRpLdhdymGzMl+UBWCwc54U5KenwX7khd8hzSqHx2AMKU3\nVdLt8YpSeDqOOi/lR9JdSnpIBCMhLCJUX0gkfRGnB2GedIAp6dw7XqmZDQNDoomSHrS11p+JwdAU\nVwyjNx7P2+3sb/9nD3LlGn7vdRtnvfXwiVwFt9zxCH6+5yRuvYTZaPjgryoKtAgRjCWflsu/e+NG\nfPGW7fjKbRe42j0DbNAo1QKUdK/NRxSOuj1zvJtkR1x3KQI8n/rF47mmdhe3kt662uo0V5nZAL1x\nqAOUsm13b9Z1Jq7jN69bh5994mp89fYLsHVpp9j+DZt0CCEYthsiOdvEwY9/03nDGC9Ucf/uMWHh\n6M3EENdVrI6gBt+4eQjfeP9FGOyMC5Iw0/i6mYC3Lwdm3+4ibx2fylehEIc4nQ44JN20ew6EjxGG\npthRmeqcLaQ4wpR0fv/xhXm+icqclO43vjButkDetjwLQoAnDkxg2qdp1/rBDF44ygi8dxExm7hq\nXR92jeawd4wJPzPypKfcXUcdks7O+y+cM4gv3LId5yw58zW+y9b0YM+JPE5Ml9sm6dPlOihtfRwY\nziaa2l34NTubdhdDsrtEhVdJ1zxJdHzMOinZXeSNWMVlJ/X3pFPKCHqYJx1g9+eCUtIXcXoQ1n4a\nYCQdAA6OFwOUdH/vuGXRho6jMhSFuGIYeVGfNzKJK+n7Thbw9Yf24+0XLsOGwdkbdPnEfusdj2DH\nsWl88dbzcdulKwE4ecIaj2BsVjjq03L56g39uGHzkC9hSBpsEeJdnKRjWkNOup/dRbPjI5n65Z5Y\n0zENS7sS2DWai9DMSFLS21Bb47OkpHNLxIFTxcDW7pqq4DUbB3DH7Rfi55+8Bt/+5UsaFj9eDHex\nSYZ3JAyb3F61vg/dKQP//tQRYeHo8WmqE4S4ruLKEbbLk7Lbtg9lE02eNbfgZG+ulPSxXAWnChV0\np2Kz3lm1FXBylq/UIydfdKWMOVfRAfd95V3IDHTEYWiKSNEqVnhOuv/Yef05A/iTm8/Fqt4UDE3B\n7964AW86bzj0/TviOrYty+Kup48gV6k3KO/rBzN42SbOrTadagXXbeoHAHzr0QMAZrbLxBcaQQWV\nqZiGGwPG3jMNl69lEZYPvnwKlXY86aoi5rNWRYPhbAJHJ8s4NF7EB77+OE7kGksF87OwM+IFJ8mt\n2F34I02fCMakoSKb0KEpRCjpVojdxW8njqv6JqWhEYwAi0WdDUvuK4kz62jPEjRT0kVW+qlieLqL\nJ2aQk6ywAWFZlxPDWLdYe2/5xkjFVDFh/dkPd8JQFXzsunVRP1ok8PebKtVw53svwi+cMygmDkdJ\njxbBWGyxKIfbXbxdMP0KR+smbfC4yekufik3GwYzLiU9rJkRR3ue9GiFo83AlfhcpS52F8Im2KHO\nBC5d09P0dXlDo2qEfGFdVfDGrUtw787jIle6XQuHrir48W+/Gu+4cFlbz58tcDtTO7skYZBJ+sl8\n1deP/kqCn9d8uR6ZwHSnjDn3owPu797bzEhVCFb2JAVJLlTDC0czcR23XrJC3BsfuGqNq7NrEN59\nyQpxTXs95rx4FGi048wm1vZncOnqHhwaZ8rsjOwu9mLC22zPz6ZwpmPjUAc6EzoefPlk5GZdMmKa\nIpJwWvGkA6yuZ3S6jG8+cgD37DiOz9/7UsNj5sLu4njSoz+HE+Ygu4uiEPRKXUctT+Fo0whG1VHq\nufgVNEV12guCMwkL7845w1EzWXe+ME+6nJXul+7CctMb7S48GzxsQFjWnRCDdc1HHUgYGoo1Ew/v\nPYW7XziOD129NrS7YjvYtKQDW5d24tu/fIkgfGnDTdJFuksTJb3so6SHIWmoKNZYBKNswcjEG0l6\nzbQabnjNbrA0GUDS1w1ksHesIDqPBjczmpndJaGrUMjMbR1yI6dK3YyshjbDcFcCY7mKsBM08yq/\n6bxhVOsWvvPoQegqmZGNpzcdO+2kYa6UdE7Kmd2l8ooo0mEQdpdqdJL+sWvX4ddfMzKXhwUg3O4C\nAKt709h3khWqF6sm4roy61vlN24eEl1qvc2P1kskfS6VdAC47dIVANjiZCbXJC9w5SSd75Sd7vtt\nLqAqBJesZr70dki6oSliPms1835JNgHTovjOo4egEOBfHj8kQhU45sLuwqN1W9mdEx1HbT3Na3cB\n4Oo6alEENjPytbtIdprmdpdFkr6IGYJbScJu2q6kjkxMsy0IjZ50QgiSki3Fee1609de1pXEVKmG\n6XJNDDzyAJvUVeTLNfzJ93dgSWcc779idgqYZJw73Im7PnKFq7kEjxvzKunNCkeb7Up4kbDTXWqm\nJVJBAEaayzXLlSZTM2kDueSFo34eU4BNvHU7ThIIa2Y0c7tLOqbNeFs5aagghJH0oKZD7YDHiB2w\nU4qaTW5blnZidV8KJ3IV9KRiZ/x2uUPSZ1dJj2kqOhM6xvJMSZ/rHPRm4PdHvtb/D5YAACAASURB\nVFKPTGCu3tCPq9bNThF6GOTj8eu8uqovhYPjRdTtAva5SASK66rY1fGOF6t704JQzKWSDgDXbRrA\nkF2zMZN7i0fOTth2l5ppnZGJGlFx2ZpeHJ4oifHcUKPfzzFNFYuZVvs28BjbqVINv3X9eiR0FX/x\no12ux8wbuwsn6dTP7sKOTe46ytJdGp/vfS4Hv7bqFm3ayfvGzUN4y/lLIx/7fMAiSZ9nKFabx2AR\nQrC8J4kD4yzCzm/ySxhaA0kvR1LS7RhG2+8OwFM4quLpQ5N4/sg0PnHDhlknGUHQVcWlPGiKIjLJ\nw1Cqmi2R3KSuiQYTLk96nCvKzndaM62GlT2LhaR2trE/SQecBkFBk1d6hnaXhK7OSgY2IQQpQ0Oh\nwnYX2jkWP/AYxn32Vn8z8k8IwZttj+/pJp6zgYx9fmfb7gI4qtSpfMU3I/2VhN6G3eWVgtx/wF9J\nT6FmUhyaKLHF/hxl67/n8pW4ftMAti5zN9ORYzLnWknXVAWfvGED3nrBzGxgmbgGQhwxxVvTtNBw\nmb3T+5MXWdfWVgtHuQW1VbvLcJbtXqsKwTsvWo5fuWo17tlxHI9LDea43SUTm70FXjt2F2K70i3L\n3+4CAH2S3YVSt93FbScNJumscBT28fkf4Ou2DOG3rl8f/eDnARbu3XOGotCkQIljZU8KB08VbFtG\n42lked9ue0ap2nxA4DGMh8ZLvhXrCUODRYGty7J4w5YlET7R7CEtdeGUlfTxQhV7TuR8n1OpWy0t\nJBIG+6zTpZqncJS9Rq7ibnntHTQ0uw16kCedq2P/s4sN6oE56RJJb2eSe98VK/G7N25s+Xl+SMXU\nWVfSedfSqCQdYN3/gNMbKThbmCu7C8AmvIPjRRSq5mlf0PDC0UJlHpJ0+3g0hfjaC3lH230n88jP\nkZIOAP2ZOL582wW+tkG+qJ9rJR1g99enX79pRq+hKMTV0EjuWL0QsbY/jb5MDM8eZp1jWy0c5WjV\n7jLUycbPy9b0oDtl4P1XrkJ/JobP/HCX6MHhJBLN3uJSb0NJ53NcULoLwISFk/mqaPSnBNhd/K4l\nTVLSwyIYz1TMr1FzEY6S3mRCWN6TxGFb4fFTN3lTHr/XDi0cFV1Hi74Z1nwy+/TrNr7iqRGpmIqp\nEvsMLCddAaXAZ+/ejVvueMT3OZWa2VLDmITkfZc/d9pWI9xKOm0g6bqqYLJUg0Xd3UY5DE3BdZsG\nhJIe1JCEf8+xCLF1fjh/RTdet2Wo5ef5H4uGfNX2pM+S8jvQEQchwH47PSPKQmRZdxK3XboC120a\nmJVjOJ2YK7sLwCa8l+zt99NeOCo86ea8U1Q1hUAhTEX3u8d4R9u9Y6xPwFxHQvrhNRv7sWVp56xa\nFuYaXUnDFcE43xZnswlCiOg+CrSupHO0qqSnYho+9Oo1+DW7diNpaPiNa9fhiQMTuGfHcQBArlxD\nXFdmNc2EECaOteZJDy4cTUok3bQoJopV5kl3pbs4rxXUzIi/fljH0TMVZ86df5aAE+tmW6srupOo\nWxRjuYrvwMBTSmTwwtF4CEnvTDC/+6HxotMtTnr9d128HJuXduKCld3RPtAsImVoOD7FSJ1qF44C\nwO7RaZEb7yU9lbrVot2FPX+yWGuw+QBAvkFJ99pdiPBjehMjOL546/mYKFRxcLyIzcOdvo9JCTvE\n6Z/gUna3VYLWJqEwGJqCgUwc+8aiK+kA8Ec3nTsr73+6wXdm5oqk8wX2fCkcBWbv2pktEEIQ19XA\n+7QrZSCb1PHC0WnsOpbDRate+THvpm3DYgfpTAFT0h1P+kIsGpVx2Zoe3PX0UQAtdhzVGslqK/j4\naze4/v22C5biqz/bi7/40S5cNdKHHzw3io1Ds59Hr6mkxXQX9mdd2F2cJ/Pxj49TY/kKLIu6fOjE\npaT7NzPiry/sLgtISl/Yd88ZiFaUdA4/ddPP7hLFk04IwdLuJMtg91HStyzN4paLVzT5FHODdExz\nNRDiq21umeCeNg7TYjnvrSjpfLAs1UzXgMCjDPMeT3qj3UURqoqf3YWjK2Vg67Js4GDCz3/sFfL8\nh0HYXXwy+WeCJdl45HbxCw1zaneR4gtPtzVIvj/mwn8/U8Q0JbTZ06reFL739BGcKlTxS1fOfpH8\nQkQ26ba7LPR7+7I1veLvrVh73DbSmd8bmqrg46/dgJfHCrjtHx/BkckSPnbt7MYjA+yebqtw1ONJ\nj2lOWpIcHWtSGpju4vf9qnaVqbVod1nEKwFup2jmI+MxjIA/wUn6FI4Klb7JgLCsK4FDUjdIfZ4M\nsvJ2M/ekA8CEPSGMTrsbOlTsmMNWlHR5sHR70tlELjc08re7OKPDTDo9JmOO3eV0Ix3TkK+Yvpn8\nM8Fwl7PQnG9WiLkGty+0soCMij6JmLfS9GkuIF8v85Gs8TScIKzuTYNS4JoN/Th/xSuvpJ+JYHYX\nrqQ3jpELDcu6k1jalYjUUVfGTDzpQbh+0wDOX9GFx/ZP4JLV3bhypLf5k1pEqyQdAYWjMg+RSbq3\nmZF8+fhxEf7/9QgRjGciFvbdcwbCiUkMV9IHO+LiJg/ypJekZkb5Sh3/9uRhqHZhTxiWdSdxeKIo\nSO58IVCyL1NTlIa809EpD0mvsUVGvAVyIO8yxNqyu0jZyzMo9uJpNq9Uek4YuN3F24V1phiWun7O\nh8XIK4nl3UnEdUW0UZ9NuJX0+eFJB+YnSV+SjWOV7T33w4bBDAgBfuv62VckFyo6EzomC066y0In\n6QBw1bq+lkWZ2Aw86UEghODTr9+EFT1JfOqGjXMSVaurxBWR2AyicJS67S7yZ3aRdMutnrvsLj5v\nzJV007KaRjCeiVj0pM8zCCW9ycpaVQiWdiewd6wQku7CXmssV8F7/+lR7DyWw2fevNk3E1jGsq4E\nyjULxyYZ6TW0+XHBy7sLzJPu/tzHPUo6bxjUCtGV82plgsFjrGS7S91qnIDcSvrMCFLKUOcFeU3F\nNBSrdST02T0eHiMGLMxmJ2G4btMAHvnda5sumNtBfweb8JKG2nL+8mxDl8aO2WqENZv45i9d7FpY\ne3HrJStwxUjvnHh7FyqySR25Sh0102roN7FQ8ckbNuB9l7dmh+Lztq6SWR3/ti3L4ie//eo56yWh\nKa3aXdxKOiHMqirvHqQMFQldFUq6/HU0tbuIZkZo2nH0TMQiSZ9nKDZpPy1jRXcSe8cKvl7PhK6h\nVDWx/2QBt/3joxjLVXDHbRfg6g39TV+XZ6W/PNZ6g4a5RMqlpJPISnq7dhd54BRKumx3qdPGnHTp\n3zMlYElDmx8k3VCRr9SRieuuLqwzBW/IAcxPlXUuQUjzHa12we0up1tFB+Z34SjQfJxNGOoiQW8R\nXFGeLtXOCk86wFK6gpK6gsBFoLnYLZ3LZm+6Slp6fa+STsBENvneI4TYMYzMk+6OYOSP8bexOM2M\nLLEQUBcQS18k6fMMxaoJXSWRBjbmSx8LVNIL1Tre8sUHQQF8+wOXYNuybKRj4CR9b4vJG3ONtNeT\nLtl9BjvjDZ50oaS3UTgKuD+3piqI6woKUjFu1bSQ0d23ECclzKoys+8tHdPmRbFdKsa6rRar0btG\nRsGS7NlL0ucSXUkDqkJOe7ILMP9J+iJmH9zCNVmqnRXpLu2Ci0ftJLucTuiqIgh3FPBmRrxZt2LH\nOHotPn2ZGE7kKqAUvs2MdMXf8+80M8Ki3WURc49W2tgvt8m0f8dRFZSyP7/+vouwui/Yd+kFb2jE\nlfT50owiqHB0WXcSPSkDJ6bd6S7lNpT0IJIOMNKck5T0utXYTY9PSEHZy61g3WAGnYnTf4vyxdFE\noTYnnnRC0LArsoj2oSgEvWnjtHcbBdyWsfmwK7SIuQffIZosVlE1KZLG4nn3A783ZsuP/kpBUxWH\ncUcAnwblDHOv3QVgO4Av2U0J/TzpQTxEk5X0BRjBePoZwCJcKFTqTf3oHCt6gkn6FWt7sfPYNH7/\nDZt8O9mFIWGo6E3HnEYz82Ry9dpd+Ap6eXcSmbiGpw5Ouh5fqbWupAeluwCMrBYqTewu9jHNJNmF\n42/fed6MX2M2wL/32Y5gzMR1dMQ1VOrWnG7Pno34yDUjoqvr6YQ8sc6XcWQRcwte8zRZrKFWX1TS\ng8Ctg81CIuYbDJXAslqPYKybVPw7SEn/+Z6TAODxpLM/g1LmXM2MLLqg4heBRZI+71Csmq6W8GE4\nd7gTnQkdK6U4Ro6ty7L4u3dtb/s4lnUncPIgU6bny+Sa9hSOcgKwvDsJQ1MwOl0GpVQQvnK9dSXd\nUBUoBLBoY6pNKqaJVstAcE46MHM/+nyCvDia7WthSTaBI5OlWX3NRQDvvuT09DLwQnPdT2eWYriI\n9tCV5Ep6zU6EWmCsaZbAx9LEHPRKmEtoqgJSj66kc1WcK+nMW6402Hz6MjHRN4O4POlcSff/noSS\nblK76HRhXW9n1tVxFqBQrUf2qA10xPHMH1yPrRG95q1g2TzMsJZtQJqiiOilZd1JDHTEUa1bookG\n4Cjprfi6CXEKWvyUdBdJ97W72Er6DOIX5xvkxdFsJ3Qs7Uos2iAWOOQ6jUUsfPBUq4li1U53WTzv\nfuD3w+lOYGoVukraamYkSDoIbjh3EFeuc2e4y9GxMtEWSnoA+eaPNSmFKYl0CwVn1tVxFqBYMedF\nIcmy7vlX1OcqHFWJsJos706K7qij02VRuMSV9FYLOBN2mol3csnENRyddIpT/e0u7DkdC0hJlyeR\n2e6Aes2GAXTOMKpyEfMbhqqgcpakfCyCjZOEAFOlRbtLGOYy3WUuoatKS2q1IiISnW6gf3zzuQ2P\nk5uwyS8vlPSA8UOQdIvaRaeRD+2MwOLdM89QrNVFS/jTifmopHs96ZuHO3HdpgFcuLILg53sBpcT\nXtpR0gGneNRLKrx2F7+cdE7aZ5qRPp8gL45m+1p418XL8Zdv2zqrr7mI+QU+uS7umJwdUOyGeczu\nQudNx+r5hphQ0s8skr5laSc2L+2M/HjOmUXhaACLlpV0pQW7ixPByDzpCyl+EVhU0ucdihUTyd7T\nf1p4DGNQNunpgNeT3puO4Su3XQCAWX8A4IRE0h0lvbVBkBe0NCscrfqoRNzuslA96a34+xexCMC5\nJxaV9LMHXUkDE8UqqnVz3og88w2OJ/3MIum/8wsbWno8t5+IwtGAx/UGkXT78glKAOOk3LJoQ8b6\nQsDi3TPPUKhGT3eZS3Al3VD9s0lPB1wRjJ5j4gk2o1NODKNQ0tuwuwCNqnE6ponCFgCombQhForb\nXRaSJ13u9Lo44S6iVfCF7KKSfvagM6Ezu4tJFxdnARAkfR7M93MJPlWLZkYBfKJXar4mC4P88UHX\nkaykU7qw4heBRZI+r7Dj6DTGC9V5ocIOZeNQyPwiZZykK6TxRjQ0BT0pw2134Up6m3YX7zZtOqah\nWreE/93P7rIQlfT0opK+iBmAT67zaSxZxNwim2R2F5aAtbBI02whdpaQdEVSugGHtHsR01QxbypK\n63YXy6IwF2AE4+KoOU+w72QBt/3jI+hNx3D7ZStP9+FAVxUMdSbmlQrCvfpcrfZioCOO47LdpWaC\nkNabMSXsLqLeJBO+SChU6qCUomZSEbnIwY+tcwEp6QldFQPrYozeIlqFsZjuctahK2lgvFBF3aKL\nhaMBEOkuZ5jdpVXw2dfkjYZCdua5L10m2qog6c2aGbEIxkW7yyJmHcemSrj1jkdgUeAb77/Y1S79\ndGJZ9/wi6ardACHIIz/YGcfolFtJj2tqy3adoMLRdJyR9Hyljpo94hiegaO/IwZC3IW3ZzoIIWKB\nNJ+uh0WcGViMYDz70JnQMZZn1sNFku4P0XH0LFPSw5RunvCiugpH2Z9NlXRKYS3aXWYHhJBuQsi9\nhJCX7D+7Ah73WkLIbkLIHkLIJ6Xff5YQsosQ8iwh5N8JIVn79ysJISVCyNP2zz+8Up+pXYwXqnj3\nVx/FVKmGO997Edb2p0/3IQlctKoHIwOZ030YLqRiWmAByUBHHCdybiW9HXtGIEmPOSS9bjHLi3fg\n2LI0i0d/99p5dR5nA9yXvugrXkSr4ApYqylLizhzkU3qwha4OGb4g5PzVMTmhWcqhCfdcnLSg+Ao\n6Y2e9KbpLubC7Dh6uu6eTwK4j1I6AuA++98uEEJUAH8P4AYAmwC8kxCyyf7vewGcSyndAuBFAJ+S\nnvoypXSb/fPBufwQM0WuXMN7vvYoDo0XccftF7QUa/RK4DevW4evv++i030YLqRjKtSAba/BjjhO\n5qticqjUrJb96ICTBhNE0guVOmp1NuB47S6AO0pqoYBPJItq6CJaxaKSfvYhK9XkLCrp/hjqTODP\n37IZN547dLoPZU7RWDga/FhB0v2aGQXM+3IzI4suvAjG03X33ATgTvvvdwK42ecxFwHYQyndSymt\nAviO/TxQSu+hlPKYjYcBLJ3j4511lGsmfvnrj2PH0Wl84ZbtuGR1z+k+pDMC4Ur6/9/e/cfIcd73\nHf989u54x98/JPn4Q6RF2XRsKk7o6iS4SG0HlYQoqlHZbmDRCRIKTasaldOmbdDIUFMYaY0IRl2j\nrR0XqmOEARIrgtVGTMHGkFQ3hYGkMZ0qqmRXpuTIEWVKYqk4kijzx919+8fO7A2Pe3c7w31uZnff\nL+Bwu7OzszP33N1+7rnv8zztH/C8N/3s7FzphYykwsDRxbO7ZOUur52b1YWsJ31xucuwyv9AoVcM\nZTFwdPTkC8pJhPTl3HHDnqEav9SNLyl3KVmT3uqtJ31ufjhXHK3rp2c6Ik5mt1+UNN1ln12Sni/c\nP5FtW+zvSvpvhft7s1KXP7T9nr6cbQLn5+Y1Py99+sM/qpve0e3y0c36yfEla9KnN7enYcwHj569\nMFfpX+zrlpmCUZJePzurC3Pdy12GFTXpqIqBo6Nn80U96cMVmlBO3vqzK8zuIhVq0rtMwdjLYkbt\nKRgv84QbJlkxlO1HJW3v8tC9xTsREbaj4mvcK2lW0m9nm05K2hMRp21fL+n3bF8XEa92ee5dku6S\npD179lR5+cuyaWpCD9z17qEb5JDahsnxJWd32b7p4rnSz83OV+pJX7ume69xr+Uuw2h9pyedumKU\nwzzpo2fLuoWedP44G22dgaPRe0+6uw4cXXkxo2Esd0kW0iPi5qUes/2S7R0RcdL2Dkkvd9ntBUm7\nC/evzrblx7hT0vsl3RTRbv2IOCfpXHb7G7aflfQ2Sce6nN/9ku6XpJmZmUp/JFwuAnp5m9dOLPlm\n3wnpl9mTfss7pnXqtXOX1JavLwwcvdAZODoabcjAUVSVrzfA987o2Foo4aDMabRdMnB0mbfMXVvb\nM9ttLAymXWme9LzTbrYzT/pwvSfXNaz4iKRDku7LPj/cZZ+vS9pne6/a4fygpJ+W2rO+SPrnkt4X\nEW/kT7B9laRXImLO9rWS9kn6TsoLwer6hb/5Vp0+c77rY1vWTWjNeEsvZyH93Oz8RQvx9GrPFet0\nz09euvRxcXaXkSt3YeAoKsr/kOV7Z3RsWUtNOtryzLzQk770vm+5aoMevvvH9MO7FibRWCmk5/9Y\nn2fF0b66T9Itto9Lujm7L9s7bR+VpGxg6MckfUXStyQ9GBFPZc//rKSNkh5ZNNXieyU9YftxSV+W\n9NGIeGW1LgrpXXvVBt1wzbauj9nW9k1ThZ70+b6WZ+TztL9+dqHcZVTegBg4iqqoSR89G6fGO+Fs\n8crNGC35lIvZP59XHNj5o7u3XFSTnofwpRczWtyTfpkn3DC19KRHxGlJN3XZ/j1JtxXuH5V0tMt+\nb13iuA9Jeqh/Z4pBM71psrOg0bkL1WZ3Wc6GqXGdOT965S4bqElHRZ0pGEfkD1q0ezM3r53Q99+4\nQLuPuDw052uLlH3HXKkn/eLFjCh3ARptetOUnnzhryS1y136HSo3TI7rtbOzujA7WuUuH3zXLm2a\nGh/61fHQfxNjLbU8OoOs0bZ13Zp2SB8frtCEcvKe82yR7tIhuteQPjuXrTg6ZCGd35oYKnm5S0To\nbIqe9MlxnTk325lOalRC+u5t63Tnj+2t+zQwgH5o+wa9c1ezFmpDevk0jKPyOxLd5T3p8z0MHF3u\n+Uv91zp/PF/MiCkYgQbbvnlKZy/M69UfzGZTMPa353f95JhePzer83OjVe4CVHXHDXt0xw2rP80t\n6rVlHSEdCzXpcz0sZtRNa4XFjGxrrGXNzc8P5RSM/PRgqExn0zC+9NrZbArGfvekT4xkuQsAlLE1\nmyudAcOjzfnsK1G1J335kC61S17ygaOsOAo0WB7SX/j+DzQ7H33vSd+YDRwdtXIXACgjL3dh4Oho\nyyPzwjzpZWvS25+X+6/1mN2ZgnGpFckHFT89GCr5gkZ/cbo9fX6/e9LXT2ZTMFLuAgBLotwF0kJP\n+FwP86Qv9/zlvo/GCz3pQ5bRCekYLm/a1F4l9LnTZySp7z3pGyYndObcnC7M0ZMOAEvZs22dJsdb\n2jDF0LdR5sUDR0tOwrh985Q++K5deve1Vyy5T6vV7kmfj+Erd+GnB0NlamJMW9dN6LuJetI3TI7p\n/Ny8zpyblURIB4Bubj/QDlZVVn3G8Mh7wmfnq/WkT4y19Jk7Diy7T96TTrkLMACmN03pu8l60ttv\nOH/5xnlJ0jjlLgBwibGWtXPL2rpPAw0xX7EmvRdjLWs+QnNDOAXjkF0O0P732POv/EBSipr0dkj/\n/hsXJNGTDgDAUhbXpKeoRhlrOVvMaPhWHCVhYOhMb5zqzGOeYnYXaaEnnZkLAADoLs/M2VtykhA9\n1nJ7MaN5QjrQeNObpzq3J/u84mjek/7KGcpdAABYTh6a5yvO7tKL9mJGoflIc/w6EdIxdPJpGCVp\ncjxNTXpe7jI+bL8RAADok0vmSS85u0sv8sWM5iMYOAo03fbNk53bU33uSS+Wu6wZaw3ddE8AAPTL\nJVMwJkid+WJGrDgKDIDphD3pxYGjlLoAALA0Lx44muA1xopTMBLSgWYrhvR+96Tn5S6vn5tlZhcA\nAFZgL5S7pBjYOT6W9aQzBSPQfNvWrdFE1svd9570NQsLc0zQkw4AwLJadmHgaIKadC/UpDO7C9Bw\nrZb1po3t3vR+96S3Wtb6Ne3gT086AADLswoDRxPN7jIf7XIXQjowALZn0zD2uyddWqhLJ6QDALC8\ndk96+3bKxYzm5oMpGIFBsH3TlFpOU5KyIZvhhYGjAACswMWbCRczilBryFI6IR1D6Zor12nb+skk\n0zHlg0dZbRQAgOUVc3PSxYyGcMXR8ZV3AQbPP/zxt+rDM7uTHHsD5S4AAPSk2HueZHaXVkvnZ2c1\nP4RTMBLSMZTWT453asf7LQ/plLsAALC8Yu95igx95YZJPf3ia1m5S/+PX6chuxwgPXrSAQDoTbHs\nNEUJ6s4tU3r5tbO6MDfPiqPAqMsHjlKTDgDA8vLcnCo/b988pfmQ/vKNC0NX7kLKAEpaT7kLAAA9\nyd8pUw3q3Ll5bef2kE3uQkgHyqLcBQCA3uTTIqYK0Pm6KMXXGhakDKCkhZA+XL8MAADoN3c+r0ZP\n+nC9LxPSgZLoSQcAoDd5cE6VnzetHdfaibHstdK8Rl1IGUBJ6wnpAAD0JA/nqXq5bWvHlnbJC+Uu\nwIjbOEW5CwAAvUnbky5JO7K6dMpdgBFHuQsAAL1pJe5Jl6QdWV06UzACI45yFwAAetOZJz3hayz0\npCd8kRqQMoCS8nIX5kkHAGB5qQeOSgs96aw4Coy4vCedFUcBAFheZzGjhN3ceU/62JB1pZMygJLW\nTYzp7ds3at/0xrpPBQCARst7t5OWu2wZznKX8bpPABg0rZb1B7/43rpPAwCAxks9BaPULnexpTXj\nw9X3TEgHAABAEqtRk7557YS+8HMzOrB7S7oXqQEhHQAAAEl0ZndJPKjzpndMJz1+HYbr/wIAAABo\njLwnfdjqxVcDIR0AAABJuPOZlF5WLSHd9jbbj9g+nn3eusR+t9p+2vYztu8pbP+E7RdsP5593FZ4\n7OPZ/k/b/onVuB4AAABcamHgaL3nMYjq6km/R9JjEbFP0mPZ/YvYHpP0OUk/KWm/pI/Y3l/Y5TMR\ncSD7OJo9Z7+kg5Kuk3SrpF/PjgMAAIBV1pmCccgWGloNdYX02yUdzm4flvSBLvvcKOmZiPhORJyX\n9ED2vJWO+0BEnIuIP5f0THYcAAAArLJWZ+BovecxiOoK6dMRcTK7/aKkbkNyd0l6vnD/RLYt9wu2\nn7D9xUK5zErP6bB9l+1jto+dOnWq0kUAAABgaXktesp50odVspBu+1HbT3b5uKg3PCJCUpQ8/Ocl\nXSvpgKSTkj5d9vwi4v6ImImImauuuqrs0wEAALAC05NeWbJ50iPi5qUes/2S7R0RcdL2Dkkvd9nt\nBUm7C/evzrYpIl4qHOs/SfqvKz0HAAAAq8umJ72quspdjkg6lN0+JOnhLvt8XdI+23ttr1F7QOgR\nScqCfe6Dkp4sHPeg7UnbeyXtk/QnCc4fAAAAK+jUpNd7GgOprhVH75P0oO2fl/RdSR+WJNs7JX0h\nIm6LiFnbH5P0FUljkr4YEU9lz/+U7QNql8k8J+kfSFJEPGX7QUnflDQr6e6ImFvF6wIAAECGcpfq\nagnpEXFa0k1dtn9P0m2F+0clHe2y388uc+xPSvpkf84UAAAAVTFwtDpWHAUAAEASTMFYHSEdAAAA\naTBwtDJCOgAAAJJY6EknpJdFSAcAAEASXvQZvSOkAwAAIIm8zKVF4iyNLxkAAACS6EzBSF96aYR0\nAAAAJLGw4mjNJzKACOkAAABIolOTzsDR0gjpAAAASCKvSSejl0dIBwAAQBJ5OGee9PII6QAAAEii\n05Ne83kMIkI6AAAAkqAnvTpCOgAAAJIwNemVEdIBAACQxMLsLrWexkAipAMAACCJFuUulRHSAQAA\nkATlLtUR0gEAAJAEPenVEdIBAACQSN6TTkgvi5AOAACAJPJsTkQvj5AOhGEskQAADHFJREFUAACA\nJBbKXeo9j0FESAcAAEASzvrQqUkvj5AOAACAJFpZ0iSjl0dIBwAAQBJm4GhlhHQAAAAkwcDR6gjp\nAAAASCLvQacmvTxCOgAAAJLozO5C4iyNLxkAAACScOczPellEdIBAACQRF7mQrVLeYR0AAAApJEP\nHCWll0ZIBwAAQBKtzsDRmk9kABHSAQAAkESezZndpTxCOgAAAJLo1KTXfB6DiJAOAACAJExNemWE\ndAAAACRhZnepjJAOAACAJPJwzsDR8gjpAAAASIKBo9UR0gEAAJAEixlVR0gHAABAEgwcrY6QDgAA\ngCSYgrE6QjoAAACSoia9vFpCuu1tth+xfTz7vHWJ/W61/bTtZ2zfU9j+u7Yfzz6es/14tv0a2z8o\nPPYfV+uaAAAAcLE8nDO7S3njNb3uPZIei4j7svB9j6RfLu5ge0zS5yTdIumEpK/bPhIR34yIOwr7\nfVrSXxWe+mxEHEh+BQAAAFgWNenV1VXucrukw9ntw5I+0GWfGyU9ExHfiYjzkh7Intfhdot/WNKX\nEp4rAAAAKmh1Qnq95zGI6grp0xFxMrv9oqTpLvvskvR84f6JbFvReyS9FBHHC9v2ZqUuf2j7PX07\nYwAAAJTiTrkLKb2sZOUuth+VtL3LQ/cW70RE2I6KL/MRXdyLflLSnog4bft6Sb9n+7qIeLXL+d0l\n6S5J2rNnT8WXBwAAwFI65S71nsZAShbSI+LmpR6z/ZLtHRFx0vYOSS932e0FSbsL96/OtuXHGJf0\nIUnXF17znKRz2e1v2H5W0tskHetyfvdLul+SZmZmqv6RAAAAgCU4i+ctRo6WVle5yxFJh7LbhyQ9\n3GWfr0vaZ3uv7TWSDmbPy90s6f9GxIl8g+2rsgGnsn2tpH2SvpPg/AEAALCCFj3pldUV0u+TdIvt\n42qH7fskyfZO20clKSJmJX1M0lckfUvSgxHxVOEYB3XpgNH3Snoim5Lxy5I+GhGvJL0SAAAAdMXs\nLtXVMgVjRJyWdFOX7d+TdFvh/lFJR5c4xp1dtj0k6aG+nSgAAAAqY5706lhxFAAAAEnk2ZyO9PII\n6QAAAEiCKRirI6QDAAAgCaZgrI6QDgAAgCTyHnQGjpZHSAcAAEASeTSn3KU8QjoAAACSWJiCsd7z\nGESEdAAAACRhpmCsjJAOAACAJFjMqDpCOgAAAJJYGDha84kMIEI6AAAAkmDgaHWEdAAAACTR6Umv\n+TwGESEdAAAASeQd6PSkl0dIBwAAQBKmJr0yQjoAAACSyLM5s7uUR0gHAABAEi1f/Bm9I6QDAAAg\nCTNwtDJCOgAAAJLo9KTTlV4aIR0AAABpdAaOEtLLIqQDAAAgibwDnYheHiEdAAAASTiL58yTXh4h\nHQAAAEl0etLJ6KUR0gEAAJCEmYKxMkI6AAAAkjADRysjpAMAACAJL/qM3hHSAQAAkETeg87A0fII\n6QAAAEiCgaPVEdIBAACQxMLAUVJ6WYR0AAAAJNHqDByt+UQGECEdAAAASTG7S3mEdAAAACTR6gwc\nrflEBhAhHQAAAElQk14dIR0AAABJdGrSaz6PQURIBwAAQBKdxYzoSS+NkA4AAIAkzOwulRHSAQAA\nkAQ16dUR0gEAAJAEs7tUR0gHAABAEgs16bWexkAipAMAACCJVpY0GThaHiEdAAAASVhMwVgVIR0A\nAABJMHC0OkI6AAAAknBn4CghvaxaQrrtbbYfsX08+7x1if2+aPtl20/2+nzbH7f9jO2nbf9E6msB\nAABAd/msLmT08urqSb9H0mMRsU/SY9n9bn5T0q29Pt/2fkkHJV2XPe/XbY/199QBAADQi05NOiG9\ntLpC+u2SDme3D0v6QLedIuJ/SnqlxPNvl/RARJyLiD+X9IykG/t10gAAAOhdHs7N0NHS6grp0xFx\nMrv9oqTpPj1/l6TnC/udyLZdwvZdto/ZPnbq1KmSLw8AAICV/PDOzXr/j+zQ/p2b6j6VgTOe6sC2\nH5W0vctD9xbvRETYjqqvU/X5EXG/pPslaWZmpvLrAwAAoLvN6yb02Z/+a3WfxkBKFtIj4ualHrP9\nku0dEXHS9g5JL5c8/FLPf0HS7sJ+V2fbAAAAgIFRV7nLEUmHstuHJD3cp+cfkXTQ9qTtvZL2SfqT\nyzxXAAAAYFXVFdLvk3SL7eOSbs7uy/ZO20fznWx/SdIfSfoh2yds//xyz4+IpyQ9KOmbkv5A0t0R\nMbdK1wQAAAD0hSMox56ZmYljx47VfRoAAAAYcra/EREzK+3HiqMAAABAwxDSAQAAgIYhpAMAAAAN\nQ0gHAAAAGoaQDgAAADQMIR0AAABoGEI6AAAA0DCEdAAAAKBhCOkAAABAwxDSAQAAgIYhpAMAAAAN\nQ0gHAAAAGoaQDgAAADQMIR0AAABoGEdE3edQO9unJH13lV7uSkn/b5VeCyujPZqJdmku2qbZaJ/m\nom2aqY52eXNEXLXSToT0VWb7WETM1H0eaKM9mol2aS7aptlon+aibZqpye1CuQsAAADQMIR0AAAA\noGEI6avv/rpPABehPZqJdmku2qbZaJ/mom2aqbHtQk06AAAA0DD0pAMAAAANQ0hfge3dtr9q+5u2\nn7L9j7Pt22w/Yvt49nlrtv2KbP/XbX92iWMesf3kMq95ve3/Y/sZ2//etrPt77X9p7Znbf9Uiutt\nsoa1xUez7Y/b/prt/SmueVA0rG3utH0qa5vHbf+9FNc8KBrWNp8ptMu3bX8/xTUPkoa1z5ttP2b7\nCdv/w/bVKa55ENTULp+0/bzt1xdtH+n3/sX62TbZ9/nThd9Lb1riNWvJZYT0lc1K+mcRsV/SuyXd\n7XYgu0fSYxGxT9Jj2X1JOivpVyT9UreD2f6QpNe7PVbweUl/X9K+7OPWbPtfSLpT0u9UvZgB16S2\n+J2IeGdEHJD0KUn/tvJVDYcmtY0k/W5EHMg+vlDxmoZFY9omIv5J3i6S/oOk/3w5FzYkGtM+kv6N\npN+KiB+R9KuSfq3qRQ2BOtrl9yXd2GX7qL/3L9bXtpH0M4X3i5eX2KeWXEZIX0FEnIyIP81uvybp\nW5J2Sbpd0uFst8OSPpDtcyYivqb2N8VFbG+Q9E8l/eulXs/2DkmbIuKPoz1g4LcKx34uIp6QNN+n\nyxsoDWuLVwu7rpc00oM7mtQ2uFiD2+Yjkr5U9bqGRcPaZ7+k/57d/mp2DiNptdslO8YfR8TJLttH\n+r1/sX62TS/qzGWE9BJsXyPpXZL+l6Tpwg/Ti5KmezjEv5L0aUlvLLPPLkknCvdPZNtQ0IS2sH23\n7WfV7kn/R72e+7BrQttI+jvZvya/bHt3j6c+9BrSNrL9Zkl7tRAIoUa0z59J+lB2+4OSNtq+opdz\nH2ar1C6ooA9tI0mHs1KXX8nLWBapLZcR0nuU/SX8kKRfXNSLquwvq2V7Um0fkPSWiPgv6c5yNDSl\nLSLicxHxFkm/LOlfXM6xhkVD2ub3JV0TEe+U9IgWelZGWkPaJndQ0pcjYq4PxxoKDWmfX5L0Ptv/\nW9L7JL0gaaTbqCHtgi4ut20yPxMR10l6T/bxs30/0ctASO+B7Qm1vxF+OyLyGsqXsn+B5P8KWaqO\nKffXJc3Yfk7S1yS9LRuwMFYYsPCrav9SLA7WuTrbBjW2LR4QpRaNaZuIOB0R57LtX5B0fR8ub6A1\npW0KDopSl46mtE9EfC8iPhQR75J0b7ZtZAf3rnK7oIQ+tY0iIv/ef03tuvIbm5TLCOkryP718RuS\nvhURxcGBRyQdym4fkvTwcseJiM9HxM6IuEbS35D07Yj48YiYKwxY+JfZv2petf3u7LV/bqVjj4om\ntYXtfYVD/i1Jx/txjYOqYW2zo3DIv612veLIalLbZOfzdklbJf1Rv65xkDWpfWxfaTvPBR+X9MV+\nXeegWe12SXAJQ6tfbWN73PaV2e0JSe+X9GSjcllE8LHMh9o/VCHpCUmPZx+3SbpC7dHDxyU9Kmlb\n4TnPSXpF7ZHcJyTtX3TMa7JvhKVec0bSk5KelfRZLSw6dUN2vDOSTkt6qu6vzwi3xb+T9FR2Dl+V\ndF3dXx/aptM2v5a1zZ9lbfP2ur8+tE27bbLHPiHpvrq/Lk35aFL7SPqp7PW+rfZ/oSbr/vqMWLt8\nKnvefPb5E9n2kX7vT9U2ak/68I3sOE+p/b4+tsRr1pLLWHEUAAAAaBjKXQAAAICGIaQDAAAADUNI\nBwAAABqGkA4AAAA0DCEdAAAAaBhCOgAAANAwhHQAAACgYQjpAAAAQMP8f7M7DipXGxDiAAAAAElF\nTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf9ca978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Remove the first element because percent change from nothing to something is NaN\n",
    "R = data['PAYH'].pct_change()[1:]\n",
    "\n",
    "plt.plot(R)\n",
    "plt.ylabel('Return')\n",
    "plt.title('PAYH Returns');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Never Assume Conditions Hold\n",
    "\n",
    "Again, whenever using plots to visualize data, do not assume you can test a hypothesis by looking at a graph. Also do not assume that because a distribution or trend used to be true, it is still true. In general much more sophisticated and careful validation is required to test whether models hold, plots are mainly useful when initially deciding how your models should work."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 不要为了验证某个想法去画图\n",
    "\n",
    "再次强调，无论什么时候，都不要带着假设去画图，画图不是为了验证你的某个想法。同样不要因为某个分布或者趋势在过去是可行的，它就一直是对的。通常来说，需要用更复杂和仔细的方法去验证模型的可行性，画图主要是在建模初期，用于找灵感。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "*This presentation is for informational purposes only and does not constitute an offer to sell, a solicitation to buy, or a recommendation for any security; nor does it constitute an offer to provide investment advisory or other services by Quantopian, Inc. (\"Quantopian\"). Nothing contained herein constitutes investment advice or offers any opinion with respect to the suitability of any security, and any views expressed herein should not be taken as advice to buy, sell, or hold any security or as an endorsement of any security or company.  In preparing the information contained herein, Quantopian, Inc. has not taken into account the investment needs, objectives, and financial circumstances of any particular investor. Any views expressed and data illustrated herein were prepared based upon information, believed to be reliable, available to Quantopian, Inc. at the time of publication. Quantopian makes no guarantees as to their accuracy or completeness. All information is subject to change and may quickly become unreliable for various reasons, including changes in market conditions or economic circumstances.*"
   ]
  }
 ],
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   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
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